Perla Azzi

perla.azzi@imj-prg.fr perla.azzi@cnrsatcreate.sg

I am currently a postdoc in National University of Singapore, working on sensor network placement using polynomial optimization. The post doc is funded by the DesCartes Program and conducted at the premises of CNRS@CREATE .
I did my PhD in Mathematics in Sorbonne Université. My doctoral research, funded by the CNRS, was conducted at the IMJ-PRG and LMPS research laboratories. I utilized algebraic geometry to solve mathematical problems in Continuum Mechanics, exploring the connections between abstract mathematical concepts and their practical applications.

Education

PhD in Mathematics

Sorbonne Université - Paris, France

Geometry of isotropy classes for linear representation of compact Lie groups with applications in Mechanics of Materials.

Supervised by Julien Grivaux and Rodrigue Desmorat.

October 2019 - April 2023

Masters in Mathematics

Université de Rennes 1 - Rennes, France

Fundamental mathematics, Algebra and Geometry.

September 2018 - July 2019

Bachelor in Mathematics

Lebanese University - Fanar, Lebanon

Fundamental mathematics.

September 2014 - July 2018

Publications

Rationality of normal forms of isotropy strata of a representation of a compact Lie group

Preprint hal-03942236

P. Azzi, R. Desmorat, J. Grivaux, B. Kolev

2023

Clips operation between type II and type III O(3)-subgroups with application to piezoelectricity

Mathematics and Mechanics of Complex System (published), hal-03550025

P. Azzi, M. Olive

2022

The distance to a constitutive tensor isotropy stratum by Lasserre polynomial optimization method

Mathematics and Mechanics of Complex System (published), hal-03718818

P. Azzi, R. Desmorat, B. Kolev, F. Priziac

2022

The distance to cubic symmetry class as a polynomial optimization problem

Journal of Elasticity (published) - hal-03620262

P. Azzi, R. Desmorat, B. Kolev, F. Priziac

2022

Teaching

Linear and Bilinear Algebra I

Sorbonne Université
Winter 2020 - Winter 2021 - Winter 2022

Linear and Bilinear Algebra II

Sorbonne Université
Summer 2020 - Summer 2021 - Summer 2022 -Summer 2023

Differential equations

Sorbonne Université
Summer 2019 - Summer 2023

Talks

14th International Symposium on Continuum Models and Discrete Systems CMDS14

Paris - France

Distance of a constitutive tensor to an isotropy stratum

June 2023

PhD Seminar IMJ-PRG

Paris - France

Geometry of isotropic strata with application to mechanics of materials

January 2023

Congrès mécanique francais CFM2022

Cité des congrès de Nantes - France

Distance to isotropic strata by Lasserre's polynomial optmization method

September 2022

International Conference on Nonlinear Solid Mechanics ICoNSoM2022

Alghero school of Architecture - Italy

Distance to cubic symmetry class using Euler-Lagrange method

June 2022

Research group in Differential Geometry and Mechanics GDR-GDM

Université de La Rochelle - France

Distance to symmetry classes by polynomial optimization

July 2021

Lebanese Mathematicians meeting

Youtube CAMS channel

Distance to isotropy strata applied to the space of elasticity tensor

June 2021

Conferences

    Journées de géométrie algébrique réelle

    Université de Nantes- France
    June 2023

    Graduate Student Meeting in Applied Algebra and Combinatorics

    KTH Royal Institute of Technology and Stockholm University
    April 2023

    POEMA final workshop

    Sorbonne Université Paris- France
    September 2022

    Research group in differential geometry and mechanics GDR-GDM

    • Université de La Rochelle - June 2019
    • ENS Cachan - November 2019
    • Université de La Rochelle - June 2021
    • ENS Paris Saclay - November 2022
    • Université de Bordeaux - June 2022

    Summer school

    • Probabilstic and Stochastic methods in Mechanics - Quiberon, France - September 2020
    • Differential Geometry in Mechanics - Quiberon, France - September 2021